Charged Dilation Black Holes as Particle Accelerators

Abstract

We examine the possibility of arbitrarily high energy in the Center-of-mass(CM) frame of colliding neutral particles in the vicinity of the horizon of a charged dilation black hole(BH). We show that it is possible to achieve the infinite energy in the background of the dilation black hole without fine-tuning of the angular momentum parameter. It is found that the CM energy $({\mathcal{E}}_{cm})$ of collisions of particles near the infinite red-shift surface of the extreme dilation BHs are arbitrarily large while the non-extreme charged dilation BHs have the finite energy. We have also compared the ${\mathcal{E}}_{cm}$ at the horizon with the ISCO(Innermost Stable Circular Orbit) and MBCO (Marginally Bound Circular Orbit) for extremal Reissner-Nordstrøm(RN) BH and Schwarzschild BH. We find that for extreme RN BH the inequality becomes ${\mathcal{E}}_{cm}{\mid }_{r_{+}}>{\mathcal{E}}_{cm}{\mid }_{r_{mb}}>{\mathcal{E}}_{cm}{\mid }_{r_{ISCO}}$ i.e. ${\mathcal{E}}_{cm}{\mid }_{r_{+}=M}:{\mathcal{E}}_{cm}{\mid }_{r_{mb}=\left(\frac{3+\sqrt{5}}{2}\right)M}:{\mathcal{E}}_{cm}{\mid }_{r_{ISCO}=4M}=\infty :3.23:2.6$. While for Schwarzschild BH the ratio of CM energy is ${\mathcal{E}}_{cm}{\mid }_{r_{+}=2M}:{\mathcal{E}}_{cm}{\mid }_{r_{mb}=4M}:{\mathcal{E}}_{cm}{\mid }_{r_{ISCO}=6M}=\sqrt{5}:\sqrt{2}:\frac{\sqrt{13}}{3}$. Also for Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) BHs, the ratio is being ${\mathcal{E}}_{cm}{\mid }_{r_{+}=2M}:{\mathcal{E}}_{cm}{\mid }_{r_{mb}=2M}:{\mathcal{E}}_{cm}{\mid }_{r_{ISCO}=2M}=\infty :\infty :\infty$.

Accepted for Publication in Astroparticle Physics, September-2014

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